Symmetry in complex networks
We consider the size and structure of the automorphism groups of a variety of empirical 'real-world' networks and find that, in contrast to classical random graph models, many real-world networks are richly symmetric. We construct a practical network automorphism group decomposition, relat...
| Main Authors: | , , |
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| Format: | Article |
| Language: | English |
| Published: |
2008-11-28.
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| Subjects: | |
| Online Access: | Get fulltext |
| Summary: | We consider the size and structure of the automorphism groups of a variety of empirical 'real-world' networks and find that, in contrast to classical random graph models, many real-world networks are richly symmetric. We construct a practical network automorphism group decomposition, relate automorphism group structure to network topology and discuss generic forms of symmetry and their origin in real-world networks. We also comment on how symmetry can affect network redundancy and robustness. |
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